Further Results on Wiener Polarity Index of Graphs

BEHMARAM, A.; YOUSEFI-AZARI, H.

doi:10.22052/ijmc.2011.5170

Further Results on Wiener Polarity Index of Graphs

Document Type : Research Paper

Authors

A. BEHMARAM ¹

H. YOUSEFI-AZARI ²

¹ University of Tehran, I. R. Iran

² Institute for Research in Fundamental Sciences (IPM), I. R. Iran

10.22052/ijmc.2011.5170

Abstract

The Wiener polarity index Wp(G) of a molecular graph G of order n is the number of unordered pairs of vertices u, v of G such that the distance d(u,v) between u and v is 3. In an earlier paper, some extremal properties of this graph invariant in the class of catacondensed hexagonal systems and fullerene graphs were investigated. In this paper, some new bounds for this graph invariant are presented. A relationship between Wiener and Wiener polarity index of some classes of graphs are also presented.

Keywords

Fullerene graph

Wiener index

Wiener polarity index